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1021112210000 = 2454971052693
BaseRepresentation
bin11101101101111110000…
…01111101001001010000
310121121200001202211000202
432312333001331021100
5113212214211210000
62101031550234332
7133526053401461
oct16667701751120
93547601684022
101021112210000
11364062249833
12145a944b59a8
13753a120a8ac
14375ca328d68
151b864e7add5
hexedbf07d250

1021112210000 has 100 divisors (see below), whose sum is σ = 2497703894532. Its totient is φ = 404233728000.

The previous prime is 1021112209991. The next prime is 1021112210003. The reversal of 1021112210000 is 122111201.

It can be written as a sum of positive squares in 10 ways, for example, as 828587831824 + 192524378176 = 910268^2 + 438776^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10211122100002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021112210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 443654 + ... + 1496346.

Almost surely, 21021112210000 is an apocalyptic number.

1021112210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248851947266).

1021112210000 is an abundant number, since it is smaller than the sum of its proper divisors (1476591684532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021112210000 is an equidigital number, since it uses as much as digits as its factorization.

1021112210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052818 (or 1052797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021112210000 its reverse (122111201), we get a palindrome (1021234321201).

The spelling of 1021112210000 in words is "one trillion, twenty-one billion, one hundred twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 625 776 970 1000 1250 1552 1940 2000 2425 2500 3880 4850 5000 7760 9700 10000 12125 19400 24250 38800 48500 60625 97000 121250 194000 242500 485000 970000 1052693 2105386 4210772 5263465 8421544 10526930 16843088 21053860 26317325 42107720 52634650 84215440 102111221 105269300 131586625 204222442 210538600 263173250 408444884 421077200 510556105 526346500 657933125 816889768 1021112210 1052693000 1315866250 1633779536 2042224420 2105386000 2552780525 2631732500 4084448840 5105561050 5263465000 8168897680 10211122100 10526930000 12763902625 20422244200 25527805250 40844488400 51055610500 63819513125 102111221000 127639026250 204222442000 255278052500 510556105000 1021112210000